Home / 3,132.20-4,698.30-823.70

Finding the Fourth Proportional to 3,132.20, 4,698.30 and 823.70

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Solution

The fourth proportional to 3,132.20, 4,698.30 and 823.70 is: 1,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.20 : 4,698.30 = 823.70 : x
  2. Step 2: Convert to fraction form
    3,132.20/4,698.30 = 823.70/x
  3. Step 3: Cross multiply
    3,132.20x = 4,698.30 × 823.70
  4. Step 4: Simplify right side
    3,132.20x = 3,869,966.22
  5. Step 5: Solve for x
    x = 3,869,966.22/3,132.20
  6. Step 6: Final answer
    x = 1,235.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.